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Finding the Fourth Proportional to 1,315.70, 1,974.93 and 797

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Solution

The fourth proportional to 1,315.70, 1,974.93 and 797 is: 1,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.70 : 1,974.93 = 797 : x
  2. Step 2: Convert to fraction form
    1,315.70/1,974.93 = 797/x
  3. Step 3: Cross multiply
    1,315.70x = 1,974.93 × 797
  4. Step 4: Simplify right side
    1,315.70x = 1,574,019.21
  5. Step 5: Solve for x
    x = 1,574,019.21/1,315.70
  6. Step 6: Final answer
    x = 1,196.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.